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Finding the Fourth Proportional to 856.50, 1,180.86 and 576.27

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Solution

The fourth proportional to 856.50, 1,180.86 and 576.27 is: 794.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.50 : 1,180.86 = 576.27 : x
  2. Step 2: Convert to fraction form
    856.50/1,180.86 = 576.27/x
  3. Step 3: Cross multiply
    856.50x = 1,180.86 × 576.27
  4. Step 4: Simplify right side
    856.50x = 680,494.19
  5. Step 5: Solve for x
    x = 680,494.19/856.50
  6. Step 6: Final answer
    x = 794.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.